Question

Please help! I will Fan and give medals to anyone who can help me!!- Figure ABCD is a rhombus with point A (3,-1). what rule would rotate the figure 270 degrees counterclockwise, and what coordinate would be the output for point A'?

Answer 1

What are your answer choices? @mndean

Answer 2

@Jamierox4es3r these are my options:
a. (x,y)->(-y,-x); A' (1, -3)
b. (x,y)->(-y,x); A' (1,3)
c. (x,y)->(y,x); A' (-1,3)
d. (x,y)->(y,-x); A' (-1,-3)

Answer 3

Okay. Do you have a picture of the problem as well that you could post :)

Answer 4

nope, it's just the problem with no picture, sorry.

Answer 5

@Jamierox4ev3r

Answer 6

fair enough! Alright, I'll give it my best shot

Answer 7

Have you tried drawing the parallelogram? The best way to do problems like this is to visualize it

Answer 8

I drew point A, that's as far as I can go :[

Answer 9

it doesn't matter what the rest of the rhombus looks like, as long as you know the point of rotation, which is usually at the origin!

Answer 10

oh okay, thanks you

Answer 11

of course!

Answer 12

Let me post something that I believe will help you ^.^

Answer 13

okay thanks

Answer 14

I know that's kind of hard to see, but the see the triangle in quandrant one? That is the orignal, and the other triangles are examples of counter clockwise rotations

Answer 15

awesome thank you! that helps a lot!

Answer 16

of course! :)

Answer 17

So based from this, can you tell me what you think the answer is?

Answer 18

No, :( I can't figure out how to create the 270 deg. rotation with my protractor.

Answer 19

@Jamierox4ev3r

Answer 20

it is pretty tough!

Answer 21

yes! D:

Answer 22

Why are you using a protractor?

Answer 23

@Seratul is there another way?

Answer 24

Note that a 270 degree counterclockwise rotation is also a 90 degree clockwise rotation

Answer 25

If you are graphing it, take the y for each coordinate and multiply by -1. Leave the x the same.

Answer 26

For example, (1,1) rotated counterclockwise for 270 degrees is (1,-1)

Answer 27

@Jamierox4ev3r wait! I think I got it! is the answer d?

Answer 28

Whoops, don't listen to what I said, I was thinking of reflection.

Answer 29

@Seratul lol it's okay thanks for trying! :)

Answer 30

But yea, the answer is d. :D

Answer 31

yahoo!!! thank you guys!

Answer 32

@Jamierox4ev3r

Answer 33

Yep, definitely D! Sorry, I went idle x.x

Answer 34

Rotation of 90º: (x,y) becomes (-y,x)
Rotation of 180º: (x,y) becomes (-x,-y)
Rotation of 270º: (x,y) becomes (y,-x)

For future reference, see these rules!

Answer 35

**Keep in mind that rotations on a coordinate grid are considered to be counterclockwise, unless otherwise stated**

Answer 36

that's really helpful thank you!